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190929792 = 2734771149
BaseRepresentation
bin10110110000101…
…01101110000000
3111022021020102210
423120111232000
5342334223132
630540142120
74505606424
oct1330255600
9438236383
10190929792
1198858419
1253b37940
133072ca11
141b500b84
1511b66bcc
hexb615b80

190929792 has 128 divisors (see below), whose sum is σ = 528768000. Its totient is φ = 60999680.

The previous prime is 190929773. The next prime is 190929799. The reversal of 190929792 is 297929091.

190929792 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190929799) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1281334 + ... + 1281482.

It is an arithmetic number, because the mean of its divisors is an integer number (4131000).

Almost surely, 2190929792 is an apocalyptic number.

190929792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190929792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264384000).

190929792 is an abundant number, since it is smaller than the sum of its proper divisors (337838208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

190929792 is a wasteful number, since it uses less digits than its factorization.

190929792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 48.

The square root of 190929792 is about 13817.7346913306. The cubic root of 190929792 is about 575.8259504993.

The spelling of 190929792 in words is "one hundred ninety million, nine hundred twenty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 71 94 96 128 141 142 149 188 192 213 282 284 298 376 384 426 447 564 568 596 752 852 894 1128 1136 1192 1504 1704 1788 2256 2272 2384 3008 3337 3408 3576 4512 4544 4768 6016 6674 6816 7003 7152 9024 9088 9536 10011 10579 13348 13632 14006 14304 18048 19072 20022 21009 21158 26696 27264 28012 28608 31737 40044 42018 42316 53392 56024 57216 63474 80088 84036 84632 106784 112048 126948 160176 168072 169264 213568 224096 253896 320352 336144 338528 427136 448192 497213 507792 640704 672288 677056 896384 994426 1015584 1281408 1344576 1354112 1491639 1988852 2031168 2689152 2983278 3977704 4062336 5966556 7955408 11933112 15910816 23866224 31821632 47732448 63643264 95464896 190929792